The regularity of the right-hand side function exactly classifies the computational and logical difficulty of solving the ODE initial value problem, corresponding to each level of the Big Five hierarchy from polynomial-time solvability to transfinite computation.
A new characteriza- tion of FAC0 via discrete ordinary differential equations
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
cs.SC 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Relating the Computational and Logical Difficulty of Solving ODEs: From Polynomial to Discontinuous Right-Hand Sides
The regularity of the right-hand side function exactly classifies the computational and logical difficulty of solving the ODE initial value problem, corresponding to each level of the Big Five hierarchy from polynomial-time solvability to transfinite computation.